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Simplifying 6 + -2(x + 1) = 8 + 3(x + -2) Reorder the terms: 6 + -2(1 + x) = 8 + 3(x + -2) 6 + (1 * -2 + x * -2) = 8 + 3(x + -2) 6 + (-2 + -2x) = 8 + 3(x + -2) Combine like terms: 6 + -2 = 4 4 + -2x = 8 + 3(x + -2) Reorder the terms: 4 + -2x = 8 + 3(-2 + x) 4 + -2x = 8 + (-2 * 3 + x * 3) 4 + -2x = 8 + (-6 + 3x) Combine like terms: 8 + -6 = 2 4 + -2x = 2 + 3x Solving 4 + -2x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + -2x + -3x = 2 + 3x + -3x Combine like terms: -2x + -3x = -5x 4 + -5x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -5x = 2 + 0 4 + -5x = 2 Add '-4' to each side of the equation. 4 + -4 + -5x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 2 + -4 -5x = 2 + -4 Combine like terms: 2 + -4 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4
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